Multiple choice

If the product of the roots of the equation (m + 1)x2 + 6x + (m2 - 1) = 0 is 8, the value of m is

  1. 1

  2. -1

  3. 9

  4. 8
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C Correct answer
Explanation

For the equation (m+1)x^2 + 6x + (m^2-1) = 0, the product of roots is c/a = (m^2-1)/(m+1) = m-1. Given m-1 = 8, so m = 9.

AI explanation

Using the formula for the product of the roots of a quadratic equation ax^2 + bx + c = 0, we set c/a = 8. Substituting the given coefficients gives (m^2 - 1)/(m + 1) = 8, which simplifies to (m - 1)(m + 1)/(m + 1) = m - 1 = 8. Solving this linear equation gives m = 9.

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